## LPnetlib/lp_scsd6

Netlib LP problem scsd6: minimize c'*x, where Ax=b, lo<=x<=hi
Name lp_scsd6 LPnetlib 676 147 1,350 4,316 4,316 Linear Programming Problem No 1981 J. Ho, E. Loute R. Fourer
Structural Rank 147 true 1 1 0 0% 0% no no real
SVD Statistics
Matrix Norm 6.050443e+00
Minimum Singular Value 6.837952e-02
Condition Number 8.848325e+01
Rank 147
sprank(A)-rank(A) 0
Null Space Dimension 0
Full Numerical Rank? yes
Download ```A Netlib LP problem, in lp/data. For more information send email to netlib@ornl.gov with the message: send index from lp send readme from lp/data The following are relevant excerpts from lp/data/readme (by David M. Gay): The column and nonzero counts in the PROBLEM SUMMARY TABLE below exclude slack and surplus columns and the right-hand side vector, but include the cost row. We have omitted other free rows and all but the first right-hand side vector, as noted below. The byte count is for the MPS compressed file; it includes a newline character at the end of each line. These files start with a blank initial line intended to prevent mail programs from discarding any of the data. The BR column indicates whether a problem has bounds or ranges: B stands for "has bounds", R for "has ranges". The optimal value is from MINOS version 5.3 (of Sept. 1988) running on a VAX with default options. PROBLEM SUMMARY TABLE Name Rows Cols Nonzeros Bytes BR Optimal Value SCSD6 148 1350 5666 32161 5.0500000078E+01 Supplied by Bob Fourer. Source: J.K. Ho and E. Loute, "A Set of Staircase Linear Programming Test Problems", Math. Prog. 20 (1981), pp. 245-250. Bob Bixby reports that the CPLEX solver (running on a Sparc station) finds slightly different optimal values for some of the problems. On a MIPS processor, MINOS version 5.3 (with crash and scaling of December 1989) also finds different optimal values for some of the problems. The following table shows the values that differ from those shown above. (Whether CPLEX finds different values on the recently added problems remains to be seen.) Problem CPLEX(Sparc) MINOS(MIPS) SCSD6 5.0500000077E+01```